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ABCD is a trapezium with AB parallel to DC. Diagonals AC and BD intersect at O. Triangles ABD and ABC are on the same base AB and between the same parallels AB and DC. Hence ar(ABD) and ar(ABC) are:

Class 9Areas — Figures on the Same BaseGeometry
  • Aequal
  • Bin ratio 1:2
  • Cin ratio AB:DC
  • Din ratio DC:AB

Step-by-Step Solution

Triangles ABD and ABC share base AB and lie between the same parallels AB and DC, so their areas are equal.
Answer: A) equal

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